Results 1 to 10 of about 890,182 (139)
Some New Results on Various Graph Energies of the Splitting Graph [PDF]
Journal of Chemistry, 2019 The energy of a simple connected graph G is equal to the sum of the absolute value of eigenvalues of the graph G where the eigenvalue of a graph G is the eigenvalue of its adjacency matrix AG.
Zheng-Qing Chu +4 more
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Energy of strong reciprocal graphs [PDF]
Transactions on Combinatorics, 2023 The energy of a graph $G$, denoted by $\mathcal{E}(G)$, is defined as the sum of absolute values of all eigenvalues of $G$. A graph $G$ is called reciprocal if $ \frac{1}{\lambda} $ is an eigenvalue of $G$ whenever $\lambda$ is an eigenvalue of $G ...
Maryam Ghahremani +3 more
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Total π-electron energy and Laplacian energy: How far the analogy goes? [PDF]
Journal of the Serbian Chemical Society, 2007 The Laplacian energy LE is a newly introduced molecular-graph-based analog of the total π-electron energy E. It is shown that LE and E have a similar structure-dependency only when molecules of different sizes are compared, when a good linear correlation
Radenković Slavko, Gutman Ivan
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Numerous graph energies of regular subdivision graph and complete graph
AIMS Mathematics, 2021 The graph energy E(G) of a simple graph G is sum of its absolute eigenvalues where eigenvalues of adjacency matrix A(G) are referred as eigenvalues of graph G. Depends upon eigenvalues of different graph matrices, several graph energies has been observed
Imrana Kousar +4 more
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Graph Theory: A Lost Component For Development in Nigeria
Journal of Nigerian Society of Physical Sciences, 2022 Graph theory is one of the neglected branches of mathematics in Nigeria but with the most applications in other fields of research. This article shows the paucity, importance, and necessity of graph theory in the development of Nigeria.
Olayiwola Babarinsa
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Estimating the total π-electron energy [PDF]
Journal of the Serbian Chemical Society, 2013 The paper gives a short survey of the most important lower and upper bounds for total π-electron energy, i.e., graph energy (E). In addition, a new lower and a new upper bound for E are deduced, valid for general molecular graphs.
Gutman Ivan, Das Kinkar Ch.
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Spectral Applications of Vertex-Clique Incidence Matrices Associated with a Graph
Mathematics, 2023 Using the notions of clique partitions and edge clique covers of graphs, we consider the corresponding incidence structures. This connection furnishes lower bounds on the negative eigenvalues and their multiplicities associated with the adjacency matrix,
Shaun Fallat, Seyed Ahmad Mojallal
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Smoothness of Graph Energy in Chemical Graphs
Mathematics, 2023 The energy of a graph G as a chemical concept leading to HMO theory was introduced by Hückel in 1931 and developed into a mathematical interpretation many years later when Gutman in 1978 gave his famous definition of the graph energy as the sum of the ...
Katja Zemljič, Petra Žigert Pleteršek
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{0,1}-Brauer Configuration Algebras and Their Applications in Graph Energy Theory
Mathematics, 2021 The energy E(G) of a graph G is the sum of the absolute values of its adjacency matrix. In contrast, the trace norm of a digraph Q, which is the sum of the singular values of the corresponding adjacency matrix, is the oriented version of the energy of a ...
Natalia Agudelo Muñetón +3 more
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Bicyclic molecular graphs with the greatest energy [PDF]
Journal of the Serbian Chemical Society, 2008 The molecular graph Qn is obtained by attaching hexagons to the end vertices of the path graph Pn-12. Earlier empirical studies indicated that Qn has greatest energy among all bicyclic n-vertex (molecular) graphs.
Furtula Boris +2 more
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